Jarred sells dvds. his inventory shows that he has a total of 3500 dvds. he has 2342 more contemporary titles than classic titles. let x represent the number of contemporary titles and y represent the number of classic titles. the system of equations models the given information for both types of dvds.

Jared has a total of 3500 dvds of two types, contemporarys and classics.

we also know that Jared has 2342 more contemporary dvds than classics.

Now, how we write this as system of equations?

if x is the number of classics, and y the number of contemporarys, then:

1) x + y = 3500

and

2) y - x = 2342

this is the system of equations, but just for fun we can solve it!

in the second equation we can leave y alone in the right side ande get: y = 2342 + x, and then replace it in the first equation.

x + y = 3500

x + (2342 + x) = 3500

2*x = 3500 - 2342 =1158

x = 1158/2 = 579

So Jared has 579 classic titles.

then:

y + x =3500

y + 579 = 3500

y = 3500 - 579 = 2921

And Jared has 2921 contemporary titles.

The abscissas of the points given are the weeks and the ordinates are the miles per gallon. the ordinates formed geometric sequence.  the common ratio is obtained by dividing the ordinate of the second point by the ordinate of the first. that is 24.48 divided by 24 which is equal to 1.02.